Answer: [tex]x = \frac{mn(q - p)}{n-m}\\\\[/tex]
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Work Shown:
Part 1
[tex]\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\[/tex]
Part 2
[tex]\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m} \\\\[/tex]
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Explanations:
There are quite a bit of steps. I decided to break things into two parts.The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero. If the formulas don't properly display, then you might have to refresh the page.sarah lost her science book her school charges a lost book fee equal to 75% of the cost of the book sarah recieved a notice she owes the school $60 for the book how much did the school pay for the book
Answer: $80
Step-by-step explanation:
You have been told that Sarah ended up paying $60, and you were told before that the charge for a lost book was 75%.
Therefore
$60 = 75%
Now we have to find out what amount of money would be equivalent to 100%:
To do this, find out what amount of money would be equivalent to 25% first.
You can do this by dividing both values by 3.
60 / 3 = 20
75 / 3 = 25
So now $20 = 25%
Now find 100% (which is the original amount) multiply each value by 4 :
$80 = 100%
So the school payed $80 for the book.
hope this helps :)
Solve for m < A
110
55
90
70
I guess the answer is 70°
Which of the following sides of a triangle form a right triangle?
a.) 2.1, 7.2, 7.5
b.) 6, 8, 10
c.) 6.4, 12, 12.2
d.) 9, 11, 15
Answer plz. Zzzzxxzzz
Answer:
m= -12
Step-by-step explanation:
-15m-30=-12m+6
-3m=36
m=-12
Answer:
m = -12
Step-by-step explanation:
Simplify the Left Hand Side:
[tex]-5\left(3m+6\right) = -5\cdot \:3m+\left(-5\right)\cdot \:6[/tex]
[tex]=-15m-30[/tex]
Simplify the Right Hand Side:
[tex]-3\left(4m-2\right)=-3\cdot \:4m-\left(-3\right)\cdot \:2[/tex]
[tex]=-3\cdot \:4m+3\cdot \:2[/tex]
[tex]= -12m+6[/tex]
All together we have:
[tex]-15m-30=-12m+6[/tex]
Add 30 to both sides and simplify:
[tex]-15m-30+30=-12m+6+30[/tex]
[tex]-15m=-12m+36[/tex]
Add 12m to both sides and simplify:
[tex]-15m+12m=-12m+36+12m[/tex]
[tex]-3m=36[/tex]
Finally, we divide both sides by -3:
[tex]\frac{-3m}{-3}=\frac{36}{-3}[/tex]
And we get the answer
m = -12
DESPERATE WILL GIVE BRAINLIST AND THANKS
What is 2410 expressed as a decimal?
Enter your answer in the box.
Answer:
2.1400
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
What is the value for x?
Enter your answer in the box.
x =
Answer:
x = 8, y = 8
Step-by-step explanation:
So we know angle CAB is congruent to angle ACB so both angles are 69.
Now we add 69+69 and we get 138. Subtract from 180.
180 - 138 = 42.
Now, we set up the equation to 5x+2=42,
subtract two from both sides and get 5x = 40,
divide both sides by 5 and you get x=8.
You can simply plug in x to 5 and add two and still get 42.
PLEASE HELP FAST. Which function is described by the values in the table?
Answer:
y = -x + 10 I believe.....
The difference btwn 2 villages is over 24km Write this as an algebraic statement
*HELP*
Answer:
|x - y| > 24
Step-by-step explanation:
The difference btwn 2 villages is over 24km Write this as an algebraic statement
To solve :
Let us represent the two villages with an alphabet :
Let:
Village 1 = x
Village 2 = y
The difference between the two villages : |Village 1 - Village |, that is x - y
The difference is more than 24 km, that is > 24
Hence,
Algebraically,
|x - y| > 24
What is the scale factor of the dilation that takes P to Q
The answer would be: 0.8
the answer should be 0.8
Como llega el gas natural a las Islas Baleares? I a Mallorca?
Answer:
El gas natural llegó ayer a Mallorca a través del gasoducto submarino.
Select the correct answer. Which number has a repeating decimal form? A. 15 B. 11/25 C. 3/20 D. 2/6
Answer:
its D 2/6
Step-by-step explanation:
From the given options 2/6 has a repeating decimal form. Therefore, option D is the correct answer.
From the given options we need to find which number has a repeating decimal form.
What is a repeating decimal form?A repeating decimal or recurring decimal is the decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.
Now, from option A:
1/5=0.2
From option B:
11/25=0.44
From option C:
3/20=0.15
From option D:
2/6=0.3333333
From the above calculation, we can see that number 2/6 has a repeating decimal form.
Therefore, option D is the correct answer.
To learn more about a repeating decimal form visit:
https://brainly.com/question/15463817.
#SPJ2
I NEED HELP please!!
9514 1404 393
Answer:
(c) 11
Step-by-step explanation:
As x goes up by 1, f(x) goes up by 2. The next line of the chart would be ...
x = 4+1 = 5; f(x) = 9+2 = 11
The appropriate choice is f(5) = 11.
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9). What is the value of ef/lm.
Answer:
EF / LM = 1 / 4
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.
Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).
Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).
Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).
CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:
LM / EF = 4
EF / LM = 1 / 4
Does (3, 10) make the inequality y > 2x + 2 true?
Answer:
Yes, it makes it true
Step-by-step explanation:
Plug in 3 and 10 as x and y into the inequality:
y > 2x + 2
10 > 2(3) + 2
10 > 6 + 2
10 > 8
Since 10 is bigger than 8, this inequality is true.
So, (3, 10) makes the inequality true.
Please help it's easy!
Step-by-step explanation:
[tex] - \frac{1}{4} \times ( - \frac{6}{11} )[/tex]
[tex] \frac{1}{2} \times \frac{3}{11} [/tex]
[tex] \frac{3}{22} [/tex]
Answer:
3/22
Step-by-step explanation:
13x = 2(5x+3) solve for x
Answer:
13x=2(5x+3)
13x=10x+6
13x-10x=6
3x=6
x= 6/3
x=2
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
13x=2(5x+3)
13x=(2)(5x)+(2)(3)(Distribute)
13x=10x+6
Step 2: Subtract 10x from both sides.
13x−10x=10x+6−10x
3x=6
Step 3: Divide both sides by 3.
3x/3=6/3
Answer:
x=2
have a nice day!!!
10 points - What is the 8th term of the sequence?
8, 24, 72, 216...
Answer:
17,496 hope this helps
Step-by-step explanation:
What is the value of the expression 30 − 9 + 3 − (12 ÷ 4)? Options: 18, 20, 21, 24.
Answer:
21
Step-by-step explanation:
well first do 12 divided by 4 is 3. than 30-9 is 21. then do 21 +3 is 24 than 24- 3 is 21. therefore your answer is 21.
Answer:
21
Step-by-step explanation:
i just took the test
Tom used 3/8 of a piece of ribbon for a kite tail. From the remaining 5/8 of the ribbon, he cut pieces to tie weights on the kite tail. Each tie was 1/12 of the whole ribbon. How many times did he cut?
Answer:
7.5
Step-by-step explanation:
Fraction used for kite = 3/8
Fraction of entire ribbon = 1/1
Fraction left after making kite :
Fraction left = 1 - 3/8 = (8 - 3) / 8 = 5/8
Fraction used as tie = 1/12
Number of ties obtainable from the fraction left :
Fraction of ribbon left ÷ fraction used as tie
5/ 8 ÷ 1/ 12
5/8 * 12 / 1
= 60 / 8
= 7.5
[tex]2x^{2}+3x-20=0[/tex]
area of this circle
attachment below
Answer:
Step-by-step explanation:
Area of a circle = (3.14) (6)2
= 113.04
Answer:
Area = 36π
Step-by-step explanation:
Area of circle = π x r²
Area = π x 6²
= 36π
Find the measure of the angle.....
Can anyone help???
Answer:
76
Step-by-step explanation:
A full triangle is 180 *always remember
180-153=27
so r is 27
180-77-27=76
or you could do
77+27+x=180
104+x=180
x=180-104
x=76
. What is 6 8ths x 5? Draw a model of your choice to help
Answer:
3.75 in decimal form.
Step-by-step explanation:
10 POINTS!!! WILL MARK BRAINLIEST
Answer:
y=5Step-by-step explanation:
75+3x+(4x+10)
ok look at the triangle 2 sides are congruent means 2 angles are congruent
that means that 75 and 3x are congruent
75=3x
divide by 3 both sides
x=25
75+75=150
30=4y+10
y=5
solve for x: 11 -4x = 19
Answer:
-2
Step-by-step explanation:
if you have -4 -2 then like ... you add 11 i think then ldk , i thought i was getting somewhere lol
A recipe calls for 1/2 cup of milk for every 3/4 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?
Answer:
2\3 cups will be needed..good luck
Which graph represents an odd function?
find the first term and the common difference of an arithmetic progression in which t5=3x-y and t11=5y
t5 refers to term 5 and t11 refers to term 11
first term: 5x-5y
common difference: -x/2 + y
The common difference is d = -0.5x + y and the first term is 5x-5y
Geometric progressionThe nth term of the geometric progression is expressed as:
[tex]T_n=a+(n-1)d[/tex]
where;
a is the first termr is the common ration is the number of termsThe fifth term of the sequence is expressed as:
[tex]T_5=a+4d=3x-y[/tex]
[tex]T_{11}=a+10d=3x-y[/tex]
Take the difference of the terms:
[tex]4d-10d=3x-y-5y\\-6d=3x-6y\\d= -0.5x+y[/tex]
Get the first term:
a = 3x - y - 4(-0.5x+y)
a = 3x - y + 2x - 4y
a = 5x - 5y
Hence the common difference is d = -0.5x + y and the first term is 5x-5y
Learn more on arithmetic progression: https://brainly.com/question/14359341
Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).
Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
The equation of the graph in slope intercept form is y = -4x + 5
Using slope intercept equation
y = mx + b
where
m = slope
b = y- intercept
Therefore,
Let's take 2 coordinates to get the slope.
(1, 1)(0, 5)
y-intercept = 5
Therefore,
m = 5 - 1 / 0 - 1 = - 4
y = -4x + 5
learn more: https://brainly.com/question/18750481?referrer=searchResults
Solve for y.
(y+k)h=C
Isolate the variable by dividing each side by factors that don't contain the variable.